TSTP Solution File: LCL460+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL460+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:19:22 EDT 2023
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL460+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:46:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.37 % Refutation found
% 0.19/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.37 fof(f7,axiom,(
% 0.19/0.37 ( and_1<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)) )) ),
% 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f17,axiom,(
% 0.19/0.37 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f40,axiom,(
% 0.19/0.37 and_1 ),
% 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f53,conjecture,(
% 0.19/0.37 kn2 ),
% 0.19/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f54,negated_conjecture,(
% 0.19/0.37 ~(kn2 )),
% 0.19/0.37 inference(negated_conjecture,[status(cth)],[f53])).
% 0.19/0.37 fof(f85,plain,(
% 0.19/0.37 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),X))))),
% 0.19/0.37 inference(NNF_transformation,[status(esa)],[f7])).
% 0.19/0.37 fof(f86,plain,(
% 0.19/0.37 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|~is_a_theorem(implies(and(sk0_13,sk0_14),sk0_13)))),
% 0.19/0.37 inference(skolemization,[status(esa)],[f85])).
% 0.19/0.37 fof(f87,plain,(
% 0.19/0.37 ![X0,X1]: (~and_1|is_a_theorem(implies(and(X0,X1),X0)))),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f86])).
% 0.19/0.37 fof(f125,plain,(
% 0.19/0.37 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 0.19/0.37 inference(NNF_transformation,[status(esa)],[f17])).
% 0.19/0.37 fof(f126,plain,(
% 0.19/0.37 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33)))),
% 0.19/0.37 inference(skolemization,[status(esa)],[f125])).
% 0.19/0.37 fof(f128,plain,(
% 0.19/0.37 kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33))),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f126])).
% 0.19/0.37 fof(f183,plain,(
% 0.19/0.37 and_1),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.19/0.37 fof(f196,plain,(
% 0.19/0.37 ~kn2),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f54])).
% 0.19/0.37 fof(f275,plain,(
% 0.19/0.37 spl0_21 <=> and_1),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f277,plain,(
% 0.19/0.37 ~and_1|spl0_21),
% 0.19/0.37 inference(component_clause,[status(thm)],[f275])).
% 0.19/0.37 fof(f278,plain,(
% 0.19/0.37 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f279,plain,(
% 0.19/0.37 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 0.19/0.37 inference(component_clause,[status(thm)],[f278])).
% 0.19/0.37 fof(f281,plain,(
% 0.19/0.37 ~spl0_21|spl0_22),
% 0.19/0.37 inference(split_clause,[status(thm)],[f87,f275,f278])).
% 0.19/0.37 fof(f385,plain,(
% 0.19/0.37 spl0_51 <=> kn2),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f386,plain,(
% 0.19/0.37 kn2|~spl0_51),
% 0.19/0.37 inference(component_clause,[status(thm)],[f385])).
% 0.19/0.37 fof(f389,plain,(
% 0.19/0.37 spl0_52 <=> is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33))),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f391,plain,(
% 0.19/0.37 ~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33))|spl0_52),
% 0.19/0.37 inference(component_clause,[status(thm)],[f389])).
% 0.19/0.37 fof(f392,plain,(
% 0.19/0.37 spl0_51|~spl0_52),
% 0.19/0.37 inference(split_clause,[status(thm)],[f128,f385,f389])).
% 0.19/0.37 fof(f537,plain,(
% 0.19/0.37 $false|~spl0_22|spl0_52),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f391,f279])).
% 0.19/0.37 fof(f538,plain,(
% 0.19/0.37 ~spl0_22|spl0_52),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f537])).
% 0.19/0.37 fof(f539,plain,(
% 0.19/0.37 $false|spl0_21),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f277,f183])).
% 0.19/0.37 fof(f540,plain,(
% 0.19/0.37 spl0_21),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f539])).
% 0.19/0.37 fof(f541,plain,(
% 0.19/0.37 $false|~spl0_51),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f386,f196])).
% 0.19/0.37 fof(f542,plain,(
% 0.19/0.37 ~spl0_51),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f541])).
% 0.19/0.37 fof(f543,plain,(
% 0.19/0.37 $false),
% 0.19/0.37 inference(sat_refutation,[status(thm)],[f281,f392,f538,f540,f542])).
% 0.19/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37 % Elapsed time: 0.023469 seconds
% 0.19/0.37 % CPU time: 0.035386 seconds
% 0.19/0.37 % Memory used: 12.499 MB
%------------------------------------------------------------------------------